98305200 has 360 divisors, whose sum is σ = 402974208. Its totient is φ = 21726720.

The previous prime is 98305171. The next prime is 98305201. The reversal of 98305200 is 250389.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (98305201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1184359 + ... + 1184441.

Almost surely, 2^98305200 is an apocalyptic number.

98305200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201487104).

98305200 is an abundant number, since it is smaller than the sum of its proper divisors (304669008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98305200 is a wasteful number, since it uses less digits than its factorization.

98305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 98305200 is about 9914.8978814711. The cubic root of 98305200 is about 461.5217404199.

Adding to 98305200 its reverse (250389), we get a palindrome (98555589).

The spelling of 98305200 in words is "ninety-eight million, three hundred five thousand, two hundred".